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Finding the Fourth Proportional to 564,117.27, 845,380.29 and 311,511.48

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Solution

The fourth proportional to 564,117.27, 845,380.29 and 311,511.48 is: 466,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,117.27 : 845,380.29 = 311,511.48 : x
  2. Step 2: Convert to fraction form
    564,117.27/845,380.29 = 311,511.48/x
  3. Step 3: Cross multiply
    564,117.27x = 845,380.29 × 311,511.48
  4. Step 4: Simplify right side
    564,117.27x = 263,345,665,300.73
  5. Step 5: Solve for x
    x = 263,345,665,300.73/564,117.27
  6. Step 6: Final answer
    x = 466,827.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.